Feathers Purple
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Math Help!!!!!! 10 points?
Could someone please help me with this question? I'm in 5th grade
thank you guys
Next week is School Spirit Week at Spring View High School. Maureen and her sister, Jenna, want to decorate hats for Crazy Hat Day. The girls can decorate hats using any combination of 5 types of decorations and 4 different hat colors.
Hat Colors Decorations
red sequins
blue feathers
purple buttons
green glitter
fabric paint
Maureen wants a purple hat with 3 different types of decorations. How
many different combinations of decorations for Maureen’s hat are possible?
Please explain why you did each step.
The total number of combinations is
= (color combinations)*(decorations combinations)
Since Maureen wants purple only, the number of color combinations is 1.
There are five types of decorations from which Maureen can chose three. This is a combination of five elements taken three at a time, which can be represented as 5C3. It is a combination (not permutation) because the order of elements is not important, i.e., sequins-buttons-fabric paint is just the same as buttons-fabric paint-sequins. In equation form this is
= 5!/(3!*(5-3)!)
= 5*4*3*2*1/(3*2*1*2*1)
= 5*2
= 10 decorations combinations
Thus the total is
= 1*10
= 10 combinations for Maureen's hat